5820487200 has 864 divisors, whose sum is σ = 24686544960. Its totient is φ = 1317888000.

The previous prime is 5820487199. The next prime is 5820487201. The reversal of 5820487200 is 27840285.

It is a happy number.

5820487200 is a `hidden beast` number, since 582 + 0 + 4 + 8 + 72 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5820487199) and next prime (5820487201).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5820487201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44431135 + ... + 44431265.

It is an arithmetic number, because the mean of its divisors is an integer number (28572390).

Almost surely, 2^5820487200 is an apocalyptic number.

5820487200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5820487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12343272480).

5820487200 is an abundant number, since it is smaller than the sum of its proper divisors (18866057760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5820487200 is a wasteful number, since it uses less digits than its factorization.

5820487200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 5820487200 is about 76292.1175482762. The cubic root of 5820487200 is about 1798.8147753060.

The spelling of 5820487200 in words is "five billion, eight hundred twenty million, four hundred eighty-seven thousand, two hundred".